Algebra Seminar

In 1929 C. Siegel proved that there are only finitely many integral points on an elliptic curve. A few years later, this result was generalized by K. Mahler to S-integral points, where S denotes a finite set of places of a number field K. In this talk I'll give a brief overview of the computation of S-integral points on elliptic curves defined over the rational numbers by estimating linear forms in complex and p-adic elliptic logarithms.